350438400000 has 1260 divisors, whose sum is σ = 1416974811714. Its totient is φ = 86261760000.

The previous prime is 350438399977. The next prime is 350438400049. The reversal of 350438400000 is 4834053.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 288807358464 + 61631041536 = 537408^2 + 248256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 26956799994 + ... + 26956800006.

Almost surely, 2^350438400000 is an apocalyptic number.

350438400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350438400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708487405857).

350438400000 is an abundant number, since it is smaller than the sum of its proper divisors (1066536411714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350438400000 is an frugal number, since it uses more digits than its factorization.

350438400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

350438400000 divided by its product of nonzero digits (5760) gives a square (60840000 = 7800²).

The spelling of 350438400000 in words is "three hundred fifty billion, four hundred thirty-eight million, four hundred thousand".